3604215121920 has 384 divisors, whose sum is σ = 14642131795200. Its totient is φ = 823820156928.

The previous prime is 3604215121873. The next prime is 3604215121921. The reversal of 3604215121920 is 291215124063.

3604215121920 is a `hidden beast` number, since 3 + 604 + 2 + 1 + 5 + 1 + 21 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3604215121921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004212 + ... + 2866508.

It is an arithmetic number, because the mean of its divisors is an integer number (38130551550).

Almost surely, 2^{3604215121920} is an apocalyptic number.

3604215121920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3604215121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321065897600).

3604215121920 is an abundant number, since it is smaller than the sum of its proper divisors (11037916673280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3604215121920 is a wasteful number, since it uses less digits than its factorization.

3604215121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862340 (or 1862314 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3604215121920 in words is "three trillion, six hundred four billion, two hundred fifteen million, one hundred twenty-one thousand, nine hundred twenty".